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If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are?
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If no of students in two classes are in ratio 5:7 of 10 are subtracted...
Given:
- The ratio of the number of students in two classes is 5:7.
- When 10 students are subtracted from each class, the ratio becomes 4:6.
Let's assume the initial number of students in the first class is 5x and in the second class is 7x.
Step 1: Subtracting 10 students from each class:
The number of students in the first class after subtracting 10 is 5x - 10.
The number of students in the second class after subtracting 10 is 7x - 10.
Step 2: Forming the new ratio:
According to the question, the new ratio is 4:6.
So, we have (5x - 10):(7x - 10) = 4:6.
Step 3: Cross multiplication:
Cross multiplying the ratio, we get (5x - 10) * 6 = (7x - 10) * 4.
Step 4: Solving the equation:
Expanding both sides of the equation, we get 30x - 60 = 28x - 40.
Simplifying the equation, we have 30x - 28x = -40 + 60.
This gives us 2x = 20.
Step 5: Finding the value of x:
Dividing both sides of the equation by 2, we get x = 10.
Step 6: Finding the number of students in each class:
Substituting the value of x in the initial assumption:
Number of students in the first class = 5x = 5 * 10 = 50.
Number of students in the second class = 7x = 7 * 10 = 70.
Therefore, there are 50 students in the first class and 70 students in the second class.
- The ratio of the number of students in two classes is 5:7.
- When 10 students are subtracted from each class, the ratio becomes 4:6.
Let's assume the initial number of students in the first class is 5x and in the second class is 7x.
Step 1: Subtracting 10 students from each class:
The number of students in the first class after subtracting 10 is 5x - 10.
The number of students in the second class after subtracting 10 is 7x - 10.
Step 2: Forming the new ratio:
According to the question, the new ratio is 4:6.
So, we have (5x - 10):(7x - 10) = 4:6.
Step 3: Cross multiplication:
Cross multiplying the ratio, we get (5x - 10) * 6 = (7x - 10) * 4.
Step 4: Solving the equation:
Expanding both sides of the equation, we get 30x - 60 = 28x - 40.
Simplifying the equation, we have 30x - 28x = -40 + 60.
This gives us 2x = 20.
Step 5: Finding the value of x:
Dividing both sides of the equation by 2, we get x = 10.
Step 6: Finding the number of students in each class:
Substituting the value of x in the initial assumption:
Number of students in the first class = 5x = 5 * 10 = 50.
Number of students in the second class = 7x = 7 * 10 = 70.
Therefore, there are 50 students in the first class and 70 students in the second class.
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If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are?
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If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are?.
If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If no of students in two classes are in ratio 5:7 of 10 are subtracted from them the ratio becomes 4:6 then the number of students in class are?.
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